Light patterns generated by the reflected rays

In this study, we investigate the special curve that is formed by the reflection of the light rays emitted from the point light source on the unit sphere from a spherical curved mirror. Also, spherical caustic curves are defined as the geometrical location of the focusing requests of the reflected l...

Full description

Saved in:
Bibliographic Details
Published in:Optik (Stuttgart) 2020-12, Vol.224, p.165507, Article 165507
Main Authors: Ateş, Fatma, Ekmekci, F. Nejat
Format: Article
Language:English
Subjects:
Singularity
Spherical caustic curve
Spherical curve
Spherical orthotomic curve
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this study, we investigate the special curve that is formed by the reflection of the light rays emitted from the point light source on the unit sphere from a spherical curved mirror. Also, spherical caustic curves are defined as the geometrical location of the focusing requests of the reflected light rays. To examine the trajectories of the light rays emitted from the point light source, we are using the Sabban frame apparatus of the spherical curved mirror on the sphere. Also, the contact points of these curves are examined in terms of the Sabban frame apparatus. Then, the singularity conditions of these curves are examined and the shapes in which they are diffeomorphic are characterized. Finally, we give an example, which is an application of our theorems and definitions, and we visualized the shapes of curved mirrors and point light source in the example with the help of Mathematica program.
ISSN:0030-4026
1618-1336
DOI:10.1016/j.ijleo.2020.165507